What is the 8655th prime number?
The 8655th prime number is 89387. The next prime is 89393 (a gap of 6) and the one before is 89381.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 8655th one is 89387.
- 2
89387 is prime because no prime up to ā89387 ā 298.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8655th prime is close to 8655 Ć ln(8655) ā 78465, and here it is 89387.
- 4
89387 has no twin: neither 89385 nor 89389 is prime.
Primes around the 8655th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8652 | 89363 | 34 |
| 8653 | 89371 | 8 |
| 8654 | 89381 | 10 |
| 8655 | 89387 | 6 |
| 8656 | 89393 | 6 |
| 8657 | 89399 | 6 |
| 8658 | 89413 | 14 |
Questions
What is the 8655th prime number?
89387.
Which prime number is 89387?
89387 is the 8655th prime number.
What is the sum of the first 8655 primes?
365,725,476.